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Generally, the similarity between the partial and full graphs ((A^{(t)}_{U_{s}}) and (A^{(t)}_{U})) can be quantified in terms of a given metric, such as the aforementioned network metrics.
First, we tested the capability of FALCON to retrieve the most probable graph using the full graphs in Figure 1 with hundred simulated probability vectors.
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We have currently defined 12 fingerprints that check, for example, properties of nodes, edges or full graph isomorphism (Weber et al. 2011).
As for the planarity feature, it is defined by Kuratowski theorem (see [7]) as follows: "a finite graph is planar if it does not contain a sub-graph which is an extended graph of graph K5 (a full graph of five vertices) or graph K3,3 (a dual full graph of six vertices in which three vertices are connected with each of the remaining three)" (see Figure 2).
By exploiting the increased convergence speed of the smaller subgraphs, we show how this scheme can achieve faster overall convergence than the standard single-stage consensus algorithm running on the full graph topology.
Figure 1 illustrates the structure of the rhyme network by showing a small part of the full graph, corresponding to the codas reconstructed as *-ar, *-an, and *-aj in the reconstruction of Baxter and Sagart (2014).
The colour of the nodes represents their eigenvector centrality inside the community with a light blue/blue/violet/red scale for increasing centrality values; the radius represents their degree in the full graph.
Note that most existing work focus on BGP query processing and optimization, which is also the focus of this paper, although gStore can support full graph pattern queries as defined in Definition 7.
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At one time graph set analysis would have been completed by visual inspection but owing to the complex nature of the hydrogen-bonded network noted in the triamterene crystal structure, MERCURY software is used to automatically identify the full graph set matrix up to the second level (synthons involving two hydrogen bonds).
NCuts was applied to cut the full graph into n connected components; the number of components or "clusters" is a parameter that required specification by some objective means.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com